Finding the Third Proportional to 56,688 and 123,583

Step by Step Solution

1. Step 1: Write the proportion equation
   56,688 : 123,583 = 123,583 : x
2. Step 2: Convert to fraction form
   56,688/123,583 = 123,583/x
3. Step 3: Cross multiply
   56,688x = 123,583 × 123,583
4. Step 4: Simplify right side
   56,688x = 15,272,757,889
5. Step 5: Solve for x
   x = 15,272,757,889/56,688
6. Step 6: Final answer
   x = 269,417.83